- #1
ZD_zainy
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Angular velocity of a rolling object
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The discussion focuses on understanding the angular velocity of a rolling object, specifically a cylinder on a slope. Participants emphasize the importance of showing one's own attempts at solving the problem before seeking help. The conversation highlights the significance of analyzing extreme cases, such as the cylinder being at the end of the slope when released. There is a debate about the perceived sudden increase in angular velocity as the cylinder leaves the incline, suggesting that increased torque may be responsible for this phenomenon. The need for clear diagrams to illustrate the concepts is also stressed for better comprehension.
- #2
BvU
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Hello @ZD_zainy , 
!
Please read the PF guidelines: we are not allowed to help if you don't show your own attempt. What does one see in the graphs ?
!Please read the PF guidelines: we are not allowed to help if you don't show your own attempt. What does one see in the graphs ?
- #3
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It can help to consider extreme cases. What if the cylinder were already at the end of the slope when released?
- #4
ZD_zainy
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How can I show my attempt which I made to find a graph?BvU said:Hello @ZD_zainy ,
Please read the PF guidelines: we are not allowed to help if you don't show your own attempt. What does one see in the graphs ?
- #5
ZD_zainy
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Oh sorry . The question’s diagram itself shows how the cylinder is in the slopeharuspex said:
- #6
BvU
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You write up what leads you to pick 1) and discuss the differences between 1) and 3). Where does it occur ?ZD_zainy said:
Personally, I think the increase in ##\omega## is exaggerated (it looks almost like a jump)
- #7
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For the angular velocity to exhibit a sudden increase at the very end when it flies off the incline, there must be an increased torque acting on it. Remember that a rolling object rotates about the instantaneous point of contact. What happens when it reaches the edge just before contact is lost?
- #8
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You miss my point.ZD_zainy said:
You are puzzled that the correct answer shows a sudden acceleration just as the cylinder reaches the end of the slope. The reason may become clear if you consider the cylinder released from rest when it is already touching the end of the slope.
Draw the diagram for that.